The average score of 4 innings is 50 runs. If the difference between the highest and lowest score is 30 and the remaining two scores are 48 and 52, find the highest score.
Show answer & explanation
Correct answer: A
Explanation
Given:
Number of innings = 4
Average score = 50
Two scores = 48, 52
Highest − lowest = 30
Formula:
Total runs = Average × Number of innings
Total runs = 50 × 4 = 200
Sum of known scores = 48 + 52 = 100
Highest + lowest = 200 − 100 = 100
Highest − lowest = 30
2 × highest = 100 + 30
2 × highest = 130
Highest = 65